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We have designed and performed mid-IR (4-5 um) gigawatt (>20 GW) power all solid state femtosecond Fe:ZnSe laser system composed of robust mid-IR (4-5 um) seed pulse source based on a high energy (up to 40 uJ) three stage AgGaS2 OPA; stretcher/compressor stage and multi-pass Fe2+:ZnSe amplifier with total gain of 1125, pumped by a solid-state Q-switched Cr:Yb:Ho:YSGG laser (50 mJ,2.85 um, 10 Hz) with output energy up to 3.5 mJ after the compression stage. Here we report experimental results on mid-IR filamentation in xenon using 4.4-um 150-fs pulses delivered by Fe:ZnSe laser system. Broadband supercontinuum (SC) spans across four-octaves from 350 nm up to 5.5 um. This broadband source offers a unique tool for high resolution spectroscopy from visible to midIR. We believe that careful adjustment of the pressure or/and cell length may also lead to filamentation assistant self-compression to few-cycle pulses.